( r) E (r) Phasor. Function of space only. Fourier series Synthesis equations. Sinusoidal EM Waves. For complex periodic signals

Transcription

1 Inoducon Snusodal M Was.MB D Yan Pllo Snusodal M.3MB 3. Snusodal M.3MB 3. Inoducon Inoducon o o dsgn h communcaons sd of a sall? Fqunc? Oms oagaon? Oms daa a? Annnas? Dc? Gan? Wa quaons Sgnal analss Wa quaons & Fou analss 3 Po budg? Lnd o & Ponng co Snusodal M.3MB 3.3 Snusodal M.3MB 3. Scon Conns Snusodal m aaon Fou snaon Phasos Mall quaons n haso foms Plan a oagaon has loc Po flo and Ponng co Poagaon n mda Poagaon n conduc mda Poagaon n Good dlcc Poagaon n Good conduco Sn Dh Po loss n mal Fqunc analss Tm doman Podc sgnal: sum of hamoncall lad snusods. Fqunc doman ng a fquncs mull of h fundamnal fqunc Snusodal M.3MB 3.5 Snusodal M.3MB 3.

2 Fou ss Snhss quaons Fo coml odc sgnals Snusodal M Was W a nsd n h bhaou of snusodal as of h fom: R a ω o amoncall lad coml onnals Fou Analss Phaso. Funcon of sac onl. Φ u Φ Snusodal M.3MB 3.7 Snusodal M.3MB 3. Snusodal M Was Gomc naon Imagna as Φ Φ R Φ Ral as R R R Φ Φ cos Φ Snusodal M.3MB 3.9 Snusodal M.3MB 3. Gomc naon Imagna as Coml Numbs ul s laon!" R Φ Φ Ral as cosω ω ω cos ω snω ω snω ω ω Snusodal M.3MB 3. Snusodal M.3MB 3.

3 # $ % # & $ % & # % & $ # ' : ' ' Mall s quaons n haso noaon Mall s quaons n haso noaon aml D J Bcoms R J R D R $ { J D% } R Fnall ha B D J. D ρ. B ρ.j B - J D-.. D. ρ /. B/. J ρ & J D D B J 3 Snusodal M.3MB 3.3 Snusodal M.3MB 3. Plan a n haso fom Plan a n haso fom Souc f non-conduc mdum: 9 9 : h 5 5 lmhol quaon 7 7 Fqunc analss aang Snusodal M.3MB 3.5 Snusodal M.3MB 3. Plan a n haso fom Plan a n haso fom Soluon? C C δ f f δ δ δ R R C C R C C Af Bf ; / < / Phas loc A Wa oagang n and - dcons Snusodal M.3MB Snusodal M.3MB 3. 3

4 ??? Plan a n haso fom Plan a n haso fom Walngh λ: ndndn of m and oson n sac Chaacsc of a a / > / λ A λ A λ λ π λ π λ π A π f λ π λ π λ π fλ π λ c Wa numb Walngh Phas loc π f fλ Snusodal M.3MB 3.9 Snusodal M.3MB 3. Whn do ha lan as? Whn do ha lan as? Consan has fons D Pon souc Plan a hn: D > λ aml: m annna and f G λ 3 cm and mn. ms Consan has fons Mull small cs samlng qualn o on lag annna Snusodal M.3MB 3. Snusodal M.3MB 3. Annnas Wa Po mdanc Flo 5 N d λ/ Sdlobs N d λ/ S Ponng co Was a no snusodal and h nsananous o s lss usful DNd d N d λ/ N d λ Snusodal M.3MB 3.3 Alasng lcc analog W Vˆ Î Vˆ RV Î RI R V θ θ R I V cos θ I cos θ Snusodal M.3MB 3.

5 5 Snusodal M.3MB 3.5 Wa mdanc Po Flo [ ] cos cos V I cos I V cos Î Vˆ W θ θ θ θ θ θ Null aag o a od θ θ θ cos V I cos V I W a Vm V V θ Snusodal M.3MB 3. Wa mdanc Po Flo sn θ V I W ac ac a W W V I VI W @ m Was and a h hasos quan R a A A A Im ac B B B Snusodal M.3MB 3.7 Wa mdanc Po Flo Bu η Snusodal M.3MB 3. Wa mdanc Po Flo lcc ng dns n h a? M S nos Magnc ng dns n h a? M S nos Toal ng dns? Th o flo n a lan a s us h aag ng dns ms h a loc Snusodal M.3MB 3.9 Poagaon n conduc mda C C C Gnal a quaon fo conducng mdum D D D W assum a moon along h as F F F Snusodal M.3MB 3.3 Poagaon n conduc mda In haso fom bcoms G G G I I γ lmhol fom h γ β γ Wh > Soluon? γ J J Wha f <?

6 K L K L L Poagaon n conduc mda Poagaon n conduc mda γ β γ R γ R β R [ ] ac fomula! Tallng a n h dcon anuad b a faco As n h loss-lss cas h has loc s gn b: π h β β λ β Im [ ] β ac fomula! Snusodal M.3MB 3.3 Snusodal M.3MB 3.3 s calld h dssaon faco Good Dlcc cas: << aml: Mca a ado fquncs. o Talo anson Good Dlcc cas: << β Pfc Cocon dlcc m η [ η 377Ω] Wa loc β Snusodal M.3MB 3.33 Snusodal M.3MB 3.3 n a mcoa ang ~3 G Good Conduco cas: >> 3.5 fo Co Good Conduco cas: >> Co cas Whn >> can γ 5 γ β Wa loc β β Snusodal M.3MB 3.35 Snusodal M.3MB 3.3

7 M M M N Wa mdanc Good Wa Dlcc mdanc cas: Wa Imdanc η η γ B γ η β η β Good dlcc: << η Innsc mdanc Small ac comonn Snusodal M.3MB 3.37 Snusodal M.3MB 3.3 Good Wa conduco mdanc cas: Wa Sn mdanc Dh no nglgabl η β Good conduco: >> η 5 R N β anuaon Dfnon: h sn dh δ s dfnd as h dsanc n h dcon of oagaon n hch h a has bn anuad b 37% δ Good conduco δ Snusodal M.3MB 3.39 Snusodal M.3MB 3. Wa Sn mdanc Dh no nglgabl Wa Sn mdanc Dh no nglgabl Poagaon n oo conduco a Poagaon n good conduco co 5 Sm Sm - Snusodal M.3MB 3. Snusodal M.3MB 3. 7

8 Wa Sn mdanc Dh no nglgabl Po Wa Loss mdanc n Mal Poagaon n good conduco co W ha sn bounda condons 5. 7 Sm - δ Good conduco f Mh δ -7 π π π 7.7mm Pfc dlcc A Vod a an an d >> δ Mal an an η η an an mal η mal mal 5 R a an an Snusodal M.3MB 3.3 Snusodal M.3MB 3. Po Wa Loss mdanc n Mal an an η mal η mal 5 a R η η an mal an mal an an an an cos π / Snusodal M.3MB 3.5